# How do you write the rectangular equations for r=sin(theta)+1?

Jul 12, 2016

${x}^{2} + {y}^{2} = y + \sqrt{{x}^{2} + {y}^{2}}$

#### Explanation:

$r = \sin \theta + 1$

using $y = r \sin \theta$ and ${r}^{2} = {x}^{2} + {y}^{2}$

$r = \frac{y}{r} + 1$

${r}^{2} = y + r$

${x}^{2} + {y}^{2} = y + \sqrt{{x}^{2} + {y}^{2}}$

very ugly but not much more you can do with it